On the Structure of Some Reduced Amalgamated Free Product C*-Algebras
Operator Algebras
2007-09-04 v3 Functional Analysis
Abstract
We study some reduced free products of C*-algebras with amalgamations. We give sufficient conditions for the positive cone of the K_0 group to be the largest possible. We also give sufficient conditions for simplicity and uniqueness of trace. We use the later result to give a necessary and sufficient condition for simplicity and uniqueness of trace of the reduced C*-algebras of the Baumslag-Solitar groups BS(m,n).
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Cite
@article{arxiv.0705.3919,
title = {On the Structure of Some Reduced Amalgamated Free Product C*-Algebras},
author = {Nikolay A. Ivanov},
journal= {arXiv preprint arXiv:0705.3919},
year = {2007}
}
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23 pages